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Simplifying 5c2 + 8cd + -21d2 = 0 Reorder the terms: 8cd + 5c2 + -21d2 = 0 Solving 8cd + 5c2 + -21d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + -7d)(c + 3d) = 0Subproblem 1
Set the factor '(5c + -7d)' equal to zero and attempt to solve: Simplifying 5c + -7d = 0 Solving 5c + -7d = 0 Move all terms containing c to the left, all other terms to the right. Add '7d' to each side of the equation. 5c + -7d + 7d = 0 + 7d Combine like terms: -7d + 7d = 0 5c + 0 = 0 + 7d 5c = 0 + 7d Remove the zero: 5c = 7d Divide each side by '5'. c = 1.4d Simplifying c = 1.4dSubproblem 2
Set the factor '(c + 3d)' equal to zero and attempt to solve: Simplifying c + 3d = 0 Solving c + 3d = 0 Move all terms containing c to the left, all other terms to the right. Add '-3d' to each side of the equation. c + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 c + 0 = 0 + -3d c = 0 + -3d Remove the zero: c = -3d Simplifying c = -3dSolution
c = {1.4d, -3d}
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